1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gizmo_the_mogwai [7]
3 years ago
5

Vector A → has magnitude 8.78 m at 37.0 ∘ from the + x axis. Vector B → has magnitude 8.26 m at 135.0 ∘ from the + x axis. Vecto

r C → has magnitude 5.65 m at 210.0 ∘ from the + x axis. Using the component method, calculate the magnitude of the resultant vector
Physics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

R = (- 3.72î + 8.29j)

Magnitude of R = 9.09 m

Explanation:

Let î and j represent unit vectors along the x and y axis respectively.

Vector A --> magnitude 8.78 m, direction 37.0° from the +x-axis

Let the x and y components of this vector be Aₓ and Aᵧ

A = (Aₓî + Aᵧj) m

The components given magnitude and direction from the +x-axis are calculated as

Aₓ = A cos θ and Aᵧ = A sin θ

Aₓ = (8.78 cos 37°) = 7.01 m

Aᵧ = (8.78 sin 37°) = 5.28 m

A = (7.01î + 5.28j) m

Vector B has magnitude 8.26 m and direction 135° from the +x-axis

B = (Bₓî + Bᵧj) m

Bₓ = (8.26 cos 135°) = - 5.84 m

Bᵧ = (8.26 sin 135°) = 5.84 m

B = (-5.84î + 5.84j) m

Vector C has magnitude 5.65 m and direction 210° from the +x-axis

C = (Cₓî + Cᵧj) m

Cₓ = (5.65 cos 210°) = - 4.89 m

Cᵧ = (5.65 sin 210°) = - 2.83 m

C = (- 4.89î - 2.83j) m

The resultant force is a vector sum of all the forces. Let the resultant force be R

R = (Rₓî + Rᵧj) m

R = A + B + C = (7.01î + 5.28j) + (-5.84î + 5.84j) + (- 4.89î - 2.83j)

Summing the î and j components seperately,

R = (- 3.72î + 8.29j) m

To get its magnitude,

Magnitude of R = √(Rₓ² + Rᵧ²) = √((-3.72)² + (8.29)²) = 9.09 m

You might be interested in
Relate RNA to translation and transcription
vlabodo [156]

Answer:

RNA plays a role in both Translation and transcription.

Explanation:

RNA translation uses mRNA (or messenger RNA) in order to bring the coding to the ribosome.

RNA transcription is where the coding receives a new strand of coding (replacing thymine with uracil) , which is then turned into protein

4 0
3 years ago
Someone places a chocolate bar near a working radar set that is used to locate ships and airplanes. which best describes what is
hjlf
The chocolate softens and melts as it absorbs the microwaves, and it makes a mess.
7 0
3 years ago
Read 2 more answers
I have a bottle of gas, the bottle can expand and contract. Initially the gas is at 1 kpa of pressure and a volume of 1 Liter, a
drek231 [11]

Answer:

P₂ = 1.22 kPa

Explanation:

This problem can be solved using the equation of state:

\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}

where,

P₁ = initial pressure = 1 KPa

P₂ = final pressure = ?

V₁ = initial Volume = 1 liter

V₂ = final volume = 1.1 liter

T₁ = initial temperature = 290 k

T₂ = final temperature = 390 k

Therefore,

\frac{(1\ kPa)(1\ liter)}{290\ k} =\frac{(P_2)(1.1\ liter)}{390\ k}\\\\P_2= \frac{(1\ kPa)(1\ liter)(390\ k)}{(290\ k)(1.1\ liter)}

<u>P₂ = 1.22 kPa</u>

7 0
2 years ago
If a participant were holding two different weights in their hands and the jnd for a 10-gram weight was 1 gram, what should the
Nataliya [291]

The jnd for a 100-gram weight, according to Weber's law will be 10 gram.

<h3>What is Weber's law?</h3>

It should be noted that Weber's law asserts that the nature of any given stimulus will always affect how change is perceived. In other words, the size, weight, importance, etc. of the prior situation and the significance of the change both influence whether a change will be observed.

In this case, it was given that the jnd for a 10-gram weight was 1 gram, therefore, the jnd for 100 gram will be;

= 100 / 10

= 10 gram

Therefore, jnd for a 100-gram weight, according to Weber's law will be 10 grams.

Learn more about weight on:

brainly.com/question/19753744

#SPJ1

7 0
1 year ago
Temperature and kinetic energy have a_______relationship.
Alex73 [517]
The hotter an object is, the more kinetic energy it has, but i'm not sure what is the exact word missing??
8 0
2 years ago
Read 2 more answers
Other questions:
  • The strength of intermolecular forces between particles affects physical properties of substances such as boiling point, melting
    12·2 answers
  • Explain what relative weight is and why it is important to the calculation of atomic mass.
    5·1 answer
  • Consider the wave function y(x)-Find the probability of fi in the range -a
    10·1 answer
  • A force acts on an object and moves it a certain distance
    6·1 answer
  • What is the most common gas in the atmosphere
    13·2 answers
  • How are Atomic number and mass number similar and difference?
    11·1 answer
  • A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.33
    6·1 answer
  • The planet earth orbits around the sun and also spins around its own axis. True or False
    7·1 answer
  • .
    14·2 answers
  • An archer uses a bow to fire two similar arrows with the same string force. One
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!